Finding the Third Proportional to 53.47 and 117.07

Step by Step Solution

1. Step 1: Write the proportion equation
   53.47 : 117.07 = 117.07 : x
2. Step 2: Convert to fraction form
   53.47/117.07 = 117.07/x
3. Step 3: Cross multiply
   53.47x = 117.07 × 117.07
4. Step 4: Simplify right side
   53.47x = 13,705.46
5. Step 5: Solve for x
   x = 13,705.46/53.47
6. Step 6: Final answer
   x = 256.31